432504400 has 60 divisors (see below), whose sum is σ = 1050853500. Its totient is φ = 171043840.

The previous prime is 432504389. The next prime is 432504407. The reversal of 432504400 is 4405234.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 197136 + 432307264 = 444^2 + 20792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432504407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29526 + ... + 41674.

It is an arithmetic number, because the mean of its divisors is an integer number (17514225).

Almost surely, 2^432504400 is an apocalyptic number.

432504400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525426750).

432504400 is an abundant number, since it is smaller than the sum of its proper divisors (618349100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

432504400 is a wasteful number, since it uses less digits than its factorization.

432504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12256 (or 12245 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 432504400 is about 20796.7401291645. The cubic root of 432504400 is about 756.2467304005.

Adding to 432504400 its reverse (4405234), we get a palindrome (436909634).

The spelling of 432504400 in words is "four hundred thirty-two million, five hundred four thousand, four hundred".